Explanation

The range of a data set is calculated as the difference between the maximum value and the minimum value:

$$\text{Range}=\text{Maximum value}-\text{Minimum value}$$

Given:

• Minimum value = 5
• Range = 50

Substitute these values into the formula:

$$50 = text{Maximum value} - 5$$

Solving for the maximum value:

$$\text{Maximum value}=50+5=55$$